Journal of Analytical Methods in Chemistry

Research Article

A Two-Time Scale Decentralized Model Predictive Controller Based on Input and Output Model

Table 2

Parameter values.
VariableDefinitionValue
𝐶 𝐴 0 Feed concentration of species A5.1 mol/L
𝑇 0 Feed temperature104.9 C
𝑘 1 0 Collision factor for reaction 1: 𝑘 1 ( 𝑇 ) = 𝑘 1 0 𝑒 − 𝐸 1 / 𝑇 1 . 2 8 7 × 1 0 1 2 h − 1
𝑘 2 0 Collision factor for reaction 2: 𝑘 2 ( 𝑇 ) = 𝑘 2 0 𝑒 − 𝐸 2 / 𝑇 1 . 2 8 7 × 1 0 1 2 h − 1
𝑘 3 0 Collision factor for reaction 3: 𝑘 3 ( 𝑇 ) = 𝑘 3 0 𝑒 − 𝐸 3 / 𝑇 9 . 0 4 3 × 1 0 9 ( m o l A ) − 1 h − 1
𝐸 1 Normalized activation energy for reaction 1 − 9758.3 K
𝐸 2 Normalized activation energy for reaction 1 − 9758.3 K
𝐸 3 Normalized activation energy for reaction 1 − 8560 K
Δ 𝐻 𝑅 𝐴 𝐵 Enthalpies of reaction 14.2 kj/mol A
Δ 𝐻 𝑅 𝐴 𝐵 Enthalpies of reaction 2 − 11 kj/mol B
Δ 𝐻 𝑅 𝐴 𝐵 Enthalpies of reaction 3 − 41.85 kj/mol A
𝑘 𝑤 Heat transfer coefficient for cooling jacket4.032 kj/(h m 2 K)
𝐴 𝑅 Surface of cooling jacket0.215  m 2
𝑉 𝑅 Reactor volume0.01  m 3
𝑚 𝐾 Coolant mass5.0 kg
𝐶 𝑝 𝐾 Heat capacity of coolant2.00 kj/(kg ⋅ K)
𝐶 𝑝 Heat capacity3.01 kj/(kg ⋅ K)
𝜌 Density0.9342 kg/L